Information-Limited Gravity: Source-Side Kernel Tests Against Distances, Growth, and Lensing
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
ILG introduces a fixed-constant, source-side kernel that mildly weights the Poisson source while leaving background FRW equations unchanged. The kernel coherently shifts growth and lensing with scale-aware predictions and provides single‑plot falsifiers without introducing fit parameters.
Abstract
We present a fixed‑constant, no‑fit, source‑side modification to gravitational sourcing—the information‑limited gravity (ILG) kernel—and confront it with cosmological observables that usually motivate a background dark‑energy component. The kernel introduces a mild, scale‑ and time‑dependent weight on the Poisson source while leaving the background field equations unchanged. We carry the kernel through growth, lensing, redshift‑space distortions, and optical distances from the null congruence, compute the Buchert backreaction, and isolate two single‑plot falsifiers. We also state two covariant extensions that could shift background distances without introducing additional fit parameters.
Key Points
- Source-side kernel: Mild, scale‑ and time‑dependent weight on the Poisson source with fixed constants (no fits).
- Coherent signatures: Predictable, scale‑aware shifts in growth and lensing; $E_G(k) \\propto w/f$.
- Buchert closure: $Q_D=0$; background distances unchanged by averaging; lensing affects scatter.
- Falsifiers: Single‑plot scale/time reciprocity and ISW sign provide crisp tests.